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Finding the Third Proportional to 76,743 and 166,362

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Solution

The third proportional to 76,743 and 166,362 is: 360,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743 : 166,362 = 166,362 : x
  2. Step 2: Convert to fraction form
    76,743/166,362 = 166,362/x
  3. Step 3: Cross multiply
    76,743x = 166,362 × 166,362
  4. Step 4: Simplify right side
    76,743x = 27,676,315,044
  5. Step 5: Solve for x
    x = 27,676,315,044/76,743
  6. Step 6: Final answer
    x = 360,636.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.